Question

Three solids of masses $m _ { 1 } , m _ { 2 }$ and $m _ { 3 }$ are connected with weightless string in succession and are placed on a frictionless table. If the mass $m _ { 3 }$ is dragged with a force T, the tension in the string between $m _ { 2 }$ and $m _ { 3 }$ is

• A. $\frac { m _ { 2 } } { m _ { 1 } + m _ { 2 } + m _ { 3 } } T$
• B. $\frac { m _ { 3 } } { m _ { 1 } + m _ { 2 } + m _ { 3 } } T$
• C. $\frac { m _ { 1 } + m _ { 2 } } { m _ { 1 } + m _ { 2 } + m _ { 3 } } T$
• D. $\frac { m _ { 2 } + m _ { 3 } } { m _ { 1 } + m _ { 2 } + m _ { 3 } } T$

Answer 1

Answer: (C)

$\frac { m _ { 1 } + m _ { 2 } } { m _ { 1 } + m _ { 2 } + m _ { 3 } } T$

Answer 2

$T ^ { \prime } = \left( m _ { 1 } + m _ { 2 } \right) \times \frac { T } { m _ { 1 } + m _ { 2 } + m _ { 3 } }$